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13194840 = 2335313547
BaseRepresentation
bin110010010101…
…011001011000
3220211100220210
4302111121120
511334213330
61150451120
7220103631
oct62253130
926740823
1013194840
1174a252a
124503aa0
13296cac9
141a76888
1512598b0
hexc95658

13194840 has 64 divisors (see below), whose sum is σ = 40872960. Its totient is φ = 3404160.

The previous prime is 13194803. The next prime is 13194859. The reversal of 13194840 is 4849131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13194798 and 13194807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1947 + ... + 5493.

It is an arithmetic number, because the mean of its divisors is an integer number (638640).

Almost surely, 213194840 is an apocalyptic number.

13194840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13194840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20436480).

13194840 is an abundant number, since it is smaller than the sum of its proper divisors (27678120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13194840 is a wasteful number, since it uses less digits than its factorization.

13194840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3592 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 13194840 is about 3632.4702338767. The cubic root of 13194840 is about 236.3023511543.

The spelling of 13194840 in words is "thirteen million, one hundred ninety-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3547 3720 7094 10641 14188 17735 21282 28376 35470 42564 53205 70940 85128 106410 109957 141880 212820 219914 329871 425640 439828 549785 659742 879656 1099570 1319484 1649355 2199140 2638968 3298710 4398280 6597420 13194840